Model-Based EEG Analysis: Proposal and Verification of Mathematical Model for Application to Neurotechnology

Kenyu Uehara, Takashi Saito
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Abstract

We have modeled dynamics of EEG with one degree of freedom nonlinear oscillator and examined the relationship between mental state of humans and model parameters simulating behavior of EEG. At the IMECE conference last year, Our analysis method identified model parameters sequentially so as to match the waveform of experimental EEG data of the alpha band using one second running window. Results of temporal variation of model parameters suggested that the mental condition such as degree of concentration could be directly observed from the dynamics of EEG signal. The method of identifying the model parameters in accordance with the EEG waveform is effective in examining the dynamics of EEG strictly, but it is not suitable for practical use because the analysis (parameter identification) takes a long time. Therefore, the purpose of this study is to test the proposed model-based analysis method for general application as a neurotechnology. The mathematical model used in neuroscience was improved for practical use, and the test was conducted with the cooperation of four subjects. model parameters were experimentally identified approximately every one second by using least square method. We solved a binary classification problem of model parameters using Support Vector Machine. Results show that our proposed model-based EEG analysis is able to discriminate concentration states in various tasks with an accuracy of over 80%.
基于模型的脑电图分析:应用于神经技术的数学模型的提出与验证
利用一自由度非线性振荡器对脑电图进行了动力学建模,研究了人的心理状态与模型参数对脑电图模拟行为的影响。在去年的IMECE会议上,我们的分析方法利用1秒运行窗口,顺序识别模型参数,从而匹配alpha波段实验脑电数据的波形。模型参数的时间变化结果表明,从脑电信号的动态变化可以直接观察到注意力集中程度等心理状态。根据脑电信号波形识别模型参数的方法在严格检测脑电信号动态方面是有效的,但由于分析(参数识别)耗时长,不适合实际应用。因此,本研究的目的是检验所提出的基于模型的分析方法作为一种神经技术的普遍应用。对神经科学中使用的数学模型进行了改进,以便于实际应用,并由四名受试者合作进行了测试。利用最小二乘法对模型参数进行了近似每秒辨识。利用支持向量机解决了模型参数的二值分类问题。结果表明,基于模型的脑电分析能够区分不同任务的集中状态,准确率超过80%。
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